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Epistemology - m a t h 4 w i s d o m - g m a i l
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Introduction E9F5FC Questions FFFFC0 Software |
Relating definitions of {$e$} The most basic definition of {$e$} is as the limit of {$(1+\frac{1}{n})^n$}. For each n, the terms give a row of Pascal's triangle. Viewing from the left, the terms have the form {$\frac{n(n-1)\cdots (n-k)}{k!}$} and so multiplying by {$\frac{1}{n^k}$} and taking the limit yields {$\frac{1}{k!}$}. {$e$} is then the sum of these terms. |

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